956928000 has 416 divisors, whose sum is σ = 3680052480. Its totient is φ = 216268800.

The previous prime is 956927963. The next prime is 956928001. The reversal of 956928000 is 829659.

It is a happy number.

It is a super-2 number, since 2×956928000² = 1831422394368000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 956928000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956928001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10751956 + ... + 10752044.

It is an arithmetic number, because the mean of its divisors is an integer number (8846280).

Almost surely, 2^956928000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840026240).

956928000 is an abundant number, since it is smaller than the sum of its proper divisors (2723124480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

956928000 is an equidigital number, since it uses as much as digits as its factorization.

956928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 956928000 is about 30934.2528598963. The cubic root of 956928000 is about 985.4314548470.

The spelling of 956928000 in words is "nine hundred fifty-six million, nine hundred twenty-eight thousand".